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Finding the Fourth Proportional to 617.72, 853.08 and 565.07

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Solution

The fourth proportional to 617.72, 853.08 and 565.07 is: 780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.72 : 853.08 = 565.07 : x
  2. Step 2: Convert to fraction form
    617.72/853.08 = 565.07/x
  3. Step 3: Cross multiply
    617.72x = 853.08 × 565.07
  4. Step 4: Simplify right side
    617.72x = 482,045.65
  5. Step 5: Solve for x
    x = 482,045.65/617.72
  6. Step 6: Final answer
    x = 780.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.